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Algebraic Attacks on Summation Generators
[chapter]
2004
Lecture Notes in Computer Science
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We apply the algebraic attacks on stream ciphers with memories to the summation generator. ...
We also show that the techniques of [6, 2] can be applied to summation generators using 2 k LFSRs to reduce the effective degree of the algebraic equation. ...
Structure of summation generators In this work, we study the summation generator with the algebraic attack in mind. ...
doi:10.1007/978-3-540-25937-4_3
fatcat:fgviepljfbd4hbzpxxnpwu5raq
Algebraic Countermeasure to Enhance the Improved Summation Generator with 2-Bit Memory
2013
Journal of Networks
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This stream cipher was proposed in 2008 to enhance the security of the improved summation generator against the algebraic attack. ...
Recently proposed algebraic attack has been shown to be very effective on several stream ciphers. ...
Algebraic attack on stream cipher includes attacks on nonlinear filter generator [2] , attacks on summation generator [4] , attacks on combiners with memory [2] , attacks on mutually clocked shift register ...
doi:10.4304/jnw.8.5.977-984
fatcat:kacqzlbwbrds5crrvjr5kemkuu
Methodes de Resolution et de Discussion des Problemes de Geometrie
1904
Mathematical Gazette
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This is the German edition of a useful introduction to methods of attacking the solution of geometrical riders. ...
The second treats of summation, the J. Bernouilli Function, and Euler's summation formula with its applications. ...
The second treats of summation, the J. Bernouilli Function, and Euler's summation formula with its applications. ...
doi:10.2307/3605178
fatcat:xmfgncy5rfhivbktzmontovr4u
The ANF of the Composition of Addition and Multiplication mod 2 n with a Boolean Function
[chapter]
2005
Lecture Notes in Computer Science
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As an application, the formula for addition modulo 2 n is applied in an algebraic attack on the summation generator and the E0 encryption scheme in the Bluetooth keystream generator. ...
Compact formulas are derived to represent the Algebraic Normal Form (ANF) of f (x + a mod 2 n ) and f (x × a mod 2 n ) from the ANF of f , where f is a Boolean function on F n 2 and a is a constant of ...
Algebraic Attack on the Summation Generator Consider a summation generator, proposed by Rueppel [25] , that consists of n binary Linear Feedback Shift Registers (LFSR). ...
doi:10.1007/11502760_8
fatcat:5ztssiiyerfa7csxa2ddvt47m4
Generic Analysis of Small Cryptographic Leaks
2010
2010 Workshop on Fault Diagnosis and Tolerance in Cryptography
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(Dinur&Shamir): Is a very general key derivation algebraic attack Generalizes and improves some previous summation-based attacks such as Integral Attacks and Vielhaber's AIDA Was recently used to break ...
The attacker can obtain one bit of output for any chosen plaintext. ...
18 Maxterms for 3-round Serpent:
Conclusions: Cube attacks seem to be ideal generic tools in leakage attacks They have the unique property that they can be applied even to poorly understood types of ...
doi:10.1109/fdtc.2010.11
dblp:conf/fdtc/DinurS10
fatcat:nnu4sggluzbobgjh4oz623pxe4
Practical attack on NLM-MAC scheme
2014
Information Processing Letters
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The NLM stream cipher designed by HoonJae Lee, SangMin Sung, HyeongRag Kim is a strengthened version of the LM summation generator that combines linear and non-linear feedback shift registers. ...
The attack needs about n 2 key-stream bits. We also show adversary is able forge any MAC tag very efficiently by having only one pair (MAC tag, cipher-text). ...
Unfortunately, it is insecure against the correlation and algebraic attacks. In 2000, Hoon Jae Leea and Sang Jae Moon proposed an improved summation generator with 2-bit memory (5) . ...
doi:10.1016/j.ipl.2014.04.010
fatcat:xz7s4baptjef3fbehjpsranvuq
A novel architecture with scalable security having expandable computational complexity for stream ciphers
2017
Facta universitatis - series Electronics and Energetics
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Contemporary stream cipher designs are highly vulnerable to algebraic cryptanalysis based on linear algebra, in which the inputs and outputs are formulated as multivariate polynomial equations. ...
Recently, Addition Modulo has been suggested over logic XOR as a mixing operator to guard against such attacks. ...
Later, the attack was generalized and applied on stream ciphers and block ciphers [5] [6] [7] . ...
doi:10.2298/fuee1704459s
fatcat:okt27kydlrcspf6iqawusiy2z4
Page 69 of Mathematical Gazette Vol. 3, Issue 46
[page]
1904
Mathematical Gazette
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The second treats of summation, the J. Bernouilli Function, and Euler’s summation formula with its applications. ...
Graphs are well to the fore in dealing with equations generally, the theory of the irrational number, derivatives, multiple roots, Sturm’s theorem, and discontinuous functions, The chapter on involution ...
Association of Teachers of Mathematics in the Middle States and Maryland. Bulletin No. I
1904
Mathematical Gazette
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The second treats of summation, the J. Bernouilli Function, and Euler's summation formula with its applications. ...
The second treats of summation, the J. Bernouilli Function, and Euler's summation formula with its applications. ...
, continued fractions, summation of series, theory of numbers, determinants, and theory of equations. ...
doi:10.2307/3605177
fatcat:rkechftcd5bn7fuodu72rl6pba
Aufgaben aus der Niederen Geometrie. By I. Alexandroff. Pp. v, 123. 1904. (Teubner.)
1904
Mathematical Gazette
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The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
The second treats of summation, the J. Bernouilli Function, and Euler’s summation formula with its applications. ...
Graphs are well to the fore in dealing with equations generally, the theory of the irrational number, derivatives, multiple roots, Sturm’s theorem, and discontinuous functions, The chapter on involution ...
doi:10.1017/s0025557200114755
fatcat:xe2pjhdhsjfczaeity5fcj7owu
Lehrbuch der Differenzenrechnung. By D. Seliwanoff. Pp. vi, 92. 1904. (Teubner.)
1904
Mathematical Gazette
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
The second treats of summation, the J. Bernouilli Function, and Euler’s summation formula with its applications. ...
Graphs are well to the fore in dealing with equations generally, the theory of the irrational number, derivatives, multiple roots, Sturm’s theorem, and discontinuous functions, The chapter on involution ...
doi:10.1017/s0025557200114767
fatcat:ngt2usneqndxvhbtxiurixlio4
Lehrbuch der Analytischen Geometrie. By O. Fort and O. Schlomilch. Vol. I. Analytische Geometrie der Ebene. 7th edition. Revised by R. Heger. 1904. (Teubner.)
1904
Mathematical Gazette
Preserved Fulltext
The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
The second treats of summation, the J. Bernouilli Function, and Euler’s summation formula with its applications. ...
Graphs are well to the fore in dealing with equations generally, the theory of the irrational number, derivatives, multiple roots, Sturm’s theorem, and discontinuous functions, The chapter on involution ...
doi:10.1017/s0025557200114779
fatcat:iheeet2gpbftnnaamqwwyawrpe
A New Method for Geometric Interpretation of Elliptic Curve Discrete Logarithm Problem
[article]
2019
arXiv
pre-print
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In cryptography, this interpretation can be used to design attacks on EC-DLP. ...
Presently, the best known attack algorithm having a sub-exponential time complexity is through the implementation of Summation Polynomials and Weil Descent. ...
We would like to thank the High Performance Computing (HPC) facility of University of L'Aquila, which enabled us to implement our algorithm on MAGMA and run the experiments to validate our results. ...
arXiv:1909.08901v1
fatcat:j3u4gljhxjehhikcmvflwq3yqu
A Simple Algebraic Representation of Rijndael
[chapter]
2001
Lecture Notes in Computer Science
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We show that there is a very straightforward closed algebraic formula for the Rijndael block cipher. ...
This formula is highly structured and far simpler then algebraic formulations of any other block cipher we know. ...
There are some general techniques that work for any block cipher, but these do not lead to practical attacks. ...
doi:10.1007/3-540-45537-x_8
fatcat:6moz65bmozgmxhj7b2wo7pkfi4
Advanced Course in Algebra
1904
Mathematical Gazette
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The second treats of summation, the J. Bernouilli Function, and Euler's summation formula with its applications. ...
This is the German edition of a useful introduction to methods of attacking the solution of geometrical riders. ...
The second treats of summation, the J. Bernouilli Function, and Euler's summation formula with its applications. ...
doi:10.2307/3605179
fatcat:lk2htzc4mjhf7hzpvjrcmrsf7a
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